Lesson 23
NYS COMMON CORE MATHEMATICS CURRICULUM
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M2
Date:________________
Lesson 23: Adding and Subtracting Expressions with Radicals
Simplify the following expressions.
Exercise 1
a) 2x + 3y – 5y + 8x
b) 7 x 2  3x  4 x 2  6 x  9
How did you simplify the expressions?
What does like-terms mean?
When adding and subtracting radical expressions,
the radicals must be the same radicand and index.
Example 1
a)
2 54 5
b)
6 4 6
c) 2 x  3 y  5 y  8 x
d) 2 6  3 7  5 7  8 6
e) 7 2  3 3  4 2  6 3
f)
6 11  4 13  7 11  3 13
At first glance, the next set of expression might look as though all the radicals are not liketerms, but ALWAYS SIMPLIFY RADICALS FIRST before making this decision.
What does it mean to simplify a radical?
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Example 2
a)
√98
b)
√48
c)
√24
d)
Example 3
a)
12  2 3  4 3
b) 2 3  6  5 3
Example 4
a) 3 6  3 2  50  24
b) 2 50  3 18  3 75  4 27
√8
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Geometry M2L23 Adding and Subtracting Radicals HW
1.
15  8 15  6 15
3. 2 24  4 54  5 96
2. 2 13  4 2  5 13  2
4.
27  48  12
5. 7 2  (6 8  2 18)
6. A rectangular garden has a length of 3 12 and a height of 7
the garden.
27 . Determine the perimeter of